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Finding the Fourth Proportional to 7,127.25, 9,835.82 and 3,983.45

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Solution

The fourth proportional to 7,127.25, 9,835.82 and 3,983.45 is: 5,497.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.25 : 9,835.82 = 3,983.45 : x
  2. Step 2: Convert to fraction form
    7,127.25/9,835.82 = 3,983.45/x
  3. Step 3: Cross multiply
    7,127.25x = 9,835.82 × 3,983.45
  4. Step 4: Simplify right side
    7,127.25x = 39,180,428.08
  5. Step 5: Solve for x
    x = 39,180,428.08/7,127.25
  6. Step 6: Final answer
    x = 5,497.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.